Search a number
-
+
96707520 = 2634571341
BaseRepresentation
bin1011100001110…
…10001111000000
320201222020210000
411300322033000
5144224120040
613332440000
72253000060
oct560721700
9221866700
1096707520
114a652878
1228479000
131705ccb0
14cbb53a0
158754130
hex5c3a3c0

96707520 has 560 divisors, whose sum is σ = 433718208. Its totient is φ = 19906560.

The previous prime is 96707503. The next prime is 96707521. The reversal of 96707520 is 2570769.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96707521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358700 + ... + 2358740.

Almost surely, 296707520 is an apocalyptic number.

96707520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859104).

96707520 is an abundant number, since it is smaller than the sum of its proper divisors (337010688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96707520 is a wasteful number, since it uses less digits than its factorization.

96707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 96707520 is about 9833.9981696154. The cubic root of 96707520 is about 459.0078173729.

Adding to 96707520 its sum of digits (36), we get a square (96707556 = 98342).

The spelling of 96707520 in words is "ninety-six million, seven hundred seven thousand, five hundred twenty".